A 480N sphere 40.0cm in radius rolls without slipping 1200cm down a ramp that is inclined at 53 0 with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest?

Answers

Answer 1

As we know that sphere roll without slipping so there is no loss of energy in this case

so here we can say that total energy is conserved

Initial Kinetic energy + initial potential energy = final kinetic energy + final potential energy

[tex]\frac{1}{2}mv_i^2 + mgh = \frac{1}{2}mv^2 + \frac{1}{2}I\omega^2+ mgh'[/tex]

as we know that ball start from rest

[tex]v_i = 0[/tex]

height of the ball initially is given as

[tex]h = Lsin\theta[/tex]

[tex]h = 1200sin53 = 960 cm[/tex]

also we know that

[tex]I = \frac{2}{5}mR^2[/tex]

also for pure rolling

[tex]v = r\omega[/tex]

also we know that

[tex]480 = m*9.8 [/tex]

[tex]m = 49 kg[/tex]

now plug in all data in above equation

[tex]480*9.60 + 0 = \frac{1}{2}*49*(0.40*\omega)^2 + \frac{1}{2}*\frac{2}{5}*49*(0.40)^2\omega^2 + 0[/tex]

[tex]4608 = 3.92\omega^2 + 1.568\omega^2[/tex]

[tex]\omega^2 = 839.65[/tex]

[tex]\omega = 29 rad/s[/tex]

So speed at the bottom of the inclined plane will be 29 rad/s


Related Questions

When scientists state that energy transformation are inefficient, do they mean energy is destroyed? Explain why.

Answers

no. energy is not created or destroyed, just transformed.

a hot light source is less efficient than a cold one ... heat is not light ...

Final answer:

The term 'inefficient' in energy transformations does not mean that energy is destroyed. Instead, it refers to the second law of thermodynamics, where some energy is always lost in an unusable form, typically as heat, during the transformation process.

Explanation:

When scientists state that energy transformations are inefficient, they don't mean that energy is destroyed. Rather, they're referring to the fact that in every energy transfer or transformation, a portion of that energy is lost in a form that is unusable, most often as heat energy. This concept is based on the second law of thermodynamics, which states that no energy transfer is entirely efficient.

In an isolated system, according to the first law of thermodynamics, energy cannot be created or destroyed but only converted from one form to another. However, not all forms of energy are useful in doing work. During these energy transformations, some energy inevitably gets 'degraded' into a less useful form, such as waste heat.

For instance, when an airplane flies through the air, some of the plane's energy is lost as heat due to friction with the surrounding air. Similarly, during cellular metabolic reactions, some energy is lost as heat. This is beneficial for warm-blooded animals like us, as it helps in maintaining our body temperature.

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What will happen if a car experiences a 300 N force to the right from the engine and a separate 150 N force due to friction and air resistance to the left? Show your work to support your position.

Answers

Force applied on the car due to engine is given as

[tex]F_1 = 300 N[/tex] towards right

Also there is a force on the car towards left due to air drag

[tex]F_2 = 150 N[/tex] towards left

now the net force on the car will be given as

[tex]\vec F_{net} = \vec F_1 + \vec F_2[/tex]

now we can say that since the two forces are here opposite in direction so here the vector sum of two forces will be the algebraic difference of the two forces.

So we can say

[tex]F_{net} = F_1 - F_2[/tex]

[tex]F_{net} = 300 - 150[/tex]

[tex]F_[net} = 150 N[/tex]

So here net force on the car will be 150 N towards right and hence it will accelerate due to same force.

wich type of friction can best be described as the force between objects that are moving (static friction)(rolling friction )(kinetci friction)(sliding friction

Answers

The answer is kinetic friction.

Answer:

Kinetic friction

Explanation:

When body is in rest then static friction force will act in opposite direction .Ans this force will given as follows

[tex]fr_s=\mu _{st}mg[/tex]

[tex]\mu _{st}\ is\ the\ coefficient\ of\ static\ friction[/tex]

When body is in motion then kinetic friction force will act in opposite direction .Ans this force will given as follows

[tex]fr_k=\mu _{k}mg[/tex]

[tex]\mu _{k}\ is\ the\ coefficient\ of\ kinetic\ friction[/tex]

When body rolls then rolling friction will act.

When body will slid then sliding friction will act.

A rabbit starts from a resting position and moves at 6 m/s after 3 seconds. What is the acceleration of the rabbit

Answers

Answer:

The acceleration of the rabbit is 2[tex]\frac{m}{s^{2}}[/tex].

Explanation:

A rabbit starts from a resting position and moves at 6 m/s after 3 seconds.

Applying first equation of motion we get,

v = u + a t

v = final velocity = 6 m/s

u = initial velocity = 0 m/s

t = time = 3 s

a = acceleration

6 = 0 + a (3)

a = 2[tex]\frac{m}{s^{2}}[/tex]

The acceleration of the rabbit is 2[tex]\frac{m}{s^{2}}[/tex].


Answer:

Applying first equation of motion we get,

v = u + a t

v = final velocity = 6 m/s

u = initial velocity = 0 m/s

t = time = 3 s

a = acceleration

6 = 0 + a (3)

a = 2

The acceleration of the rabbit is 2.

Explanation:

Apply the first equation of motion

Please help fast.

______ is a unit of speed.

A: m/s

B: min

C: m

D: km

Answers

A. m/s is a unit for speed.

Minutes, meters, and kilometers are incorrect.

Please brainliest me if this helped; trying to level up!

The unit for speed is meter per second ( m/s).  

Answer : Option A

Explanation:

The speed is the measure of the total distance traveled over a specified or particular time. Therefore, and as we know that the unit of distance is meter and that of time is seconds according to the S. I. unit of system. Therefore the unit of speed written as the meter per second, or, m / s, or, m s -1.

Coal begins to form when plants die in a swampy area. True or false

Answers

true :) i took a science test and that question is correct

wich of the folling is best definition of vectors (quantities described by both force and gravity)(quantities described by bothspeed amnd movement)(quantities described by both velocity and acceleration)(quantities described by both magnitud)

Answers

Answer:

Option D is quantities described by both magnitude and direction is the correct answer.

Explanation:

A scalar is quantity with magnitude only. It does not have direction. Examples of scalar are distance, speed, time etc.

A vector is quantity with both magnitude and direction. Some examples for vectors are displacement, velocity, acceleration, force, moment, electric field, magnetic field etc.

Here option A, quantities described by both force and gravity is not correct.

Option B is quantities described by both speed and movement is also not correct.

Option C is quantities described by both velocity and acceleration is also not correct.

Option D is quantities described by both magnitude and direction is the correct answer.

What two kinds of motion combine to produce projectile motion?

Answers

Final answer:

Projectile motion is created by the combination of horizontal motion at constant velocity and vertical motion with constant acceleration due to gravity, resulting in a curved trajectory.

Explanation:

The two kinds of motion that combine to produce projectile motion are horizontal motion and vertical motion. The horizontal motion of a projectile happens at a constant velocity, due to the absence of horizontal forces acting on the projectile (ignoring air resistance). On the other hand, the vertical motion occurs with constant acceleration due to gravity acting on the projectile. When these two motions—horizontal and vertical—combine, they form the characteristic curved trajectory of a projectile motion.

For example, when a football is kicked, it travels horizontally forward while also being pulled down by gravity. The resulting path is a parabola. This is a classical example of projectile motion where the horizontal motion, which is constant, and the vertical motion, which is accelerated by gravity, work simultaneously to guide the motion of the projectile.

A toy car with a mass of 2 kg is moving along the floor at 2 m/s,
calculate its momentum.

Please show your work! :)


Thanks in advance!

Answers

The answer is 4 kg m/s

because p = m x v , 2 kg x 2m/s = 4 kg m/s

Answer: The momentum of the toy car is 4 kg.m/s

Explanation:

Momentum is defined as the force that keeps the object moving.

It is also defined as the product of mass and velocity of an object.

Mathematically,

[tex]p=m\times v[/tex]

where,

p = momentum of the toy car = ?

m = mass of the toy car = 2 kg

v = velocity of the toy car = 2 m/s

Putting values in above equation, we get:

[tex]p=2kg\times 2m/s\\\\p=4kg.m/s[/tex]

Hence, the momentum of the toy car is 4 kg.m/s

How much would a 70.0-kg person weigh on Mercury?

Answers

AS Weight = w =mg

          m= 70kg

 g on mercury =3.7 m/s²

so  W = (70kg) ( 3.7m/s²)

      w=259 kgm/s²

w = 259 N

A friction force of 280 N exists between a cart and the path. If the force of reaction is 766 N, what is the minimum action force needed to set the cart in motion?

Answers

force of friction on the cart is given as

[tex]F_f = 280 N[/tex]

here we also know the reaction force due to surface

[tex]R = 766 N[/tex]

so we can say reaction force is given as

[tex]R = \sqrt{F_n^2 + F_f^2}[/tex]

[tex]766 = \sqrt{F_n^2 + 280^2}[/tex]

[tex]F_n^2 = 766^2 - 280^2[/tex]

[tex]F_n = 713 N[/tex]

now by force balance we will say

[tex]F_y + F_n = mg[/tex]

[tex]F_y = mg - F_n[/tex]

[tex]F_x = F_f[/tex]

also we know that

[tex]F_f = \mu * F_n[/tex]

[tex]280 = \mu * 713[/tex]

[tex]\mu = 0.39[/tex]

now minimum force required to set this into motion

[tex]F_{min} = \frac{\mu mg}{\sqrt{1 + \mu^2}}[/tex]

here we know that

[tex]mg = F_n = 713 N[/tex]

[tex]F_{min} = \frac{0.39* 713}{\sqrt{1 + 0.39^2}}[/tex]

[tex]F_{min} = 259 N[/tex]

So it will require 259 N minimum force to move it

please solve for how many drinks drinks are 1.59 each and I got 30 dollars worth of drinks

Answers

Answer:

You can drink 18 drinks and 1.38 dollars left with you.

Explanation:

1 drink cost 1.59 dollars

You have 30 dollars with you.

Number of drinks in 30 dollars = [tex]\frac{30}{1.59}[/tex]

Number of drinks in 30 dollars = 18

From division 1.36 remains as remainder so, 1.38 dollars left with you.

Which quantity is a scalar quantity?
A.
acceleration
B.
area
C.
displacement
D.
force
E.
velocity

Answers

Area is the scalar quantity,

Answer:

The correct answer is option B.

Explanation:

Scalar quantity are those which only have magnitude and no direction.

For example:  mass, time, distance etc.

Vector quantity are those which have  both magnitude and direction.

For example:  displacement , velocity etc.

From the given options, the quantity which is scalar is are a because it only has magnitude but no directions.

Where acceleration, velocity, displacement  and force all are vector quantities.

Hence, the correct answer is option B.

The device is a burner from an electric stove. It is used to transfer heat to a pot by A. Conduction B. Convection C. Radiation D. Friction

Answers

I’m pretty positive that it’s A. Conduction. Just refer to the definition of it.

Answer:

A device is a burner from an electric stove. Then the conduction heat is transferred to a pot.

Conduction heat is a method of heat transfer in which the the transfer is takes place by direct contact between objects. From the question , it is clear that, the burner from electric stove transfers energy to a bottom of the pot sitting on it.

Select all the correct answers.
As a student, what steps can you take to reduce the amount of waste you make?
Dispose of products after one use instead of reusing them.
Recycle old books, newspapers, and magazines.
Replace useful items with new items before they wear out.
Start a compost program at school instead of trashing food.
Place computer equipment in the trash when it no longer works.

Answers

Recycle old boiks,newspapers, and magazine. start a compost program at school instead of trashing food.
Final answer:

As a student, to reduce waste, you should recycle materials like old books, start a compost program at school, buy used items, and properly recycle electronics. Avoid actions that are against the reduce, reuse, and recycle principles like disposing reusable products, replacing items prematurely, or trashing computer equipment.

Explanation:

To reduce the amount of waste you make as a student, focus on actions that adhere to the Reduce, Reuse, and Recycle principles. Firstly, recycle your old books, newspapers, and magazines instead of throwing them away. Starting a compost program at school will help reduce food waste by turning it into nutrient-rich soil instead of contributing to landfill mass.

Other actions include buying used or fewer items, maintaining and repairing products to extend their lifespan, and borrowing or sharing infrequently used items. Always avoid disposing of products that can still be reused, and do not replace items before they wear out. Moreover, never throw away computer equipment; recycle it properly as electronic waste can be hazardous to the environment.

Recycling efforts in your community are important; participate by separating recyclables like aluminum, plastics, glass, and paper. Encourage and join initiatives at school to promote recycling and conservation.

What is the purpose of using the Scientific Method? Choose all that apply. This method allows people to separate fact from fiction. This method allows people to conduct orderly research. This method allows people to collect opinions for personal use. This method prevents false information from circulating. This method allows people to make new discoveries.

Answers

1) This method allows people to do orderly research.

2) This method allows people to make new Discoveries.

hope this helps you!

Answer: This method allows people to conduct orderly research.

This method allows people to make new discoveries.

Explanation:

Scientific method is a detailed experimental protocol is required to be followed in order to prove a reason of cause of natural phenomena occurring in nature.

By utilizing scientific methods people conduct research. If a proper methodology is followed till the end of the experimentation process it will result in new outcomes different from the preposed observations and results. This will lead to new innovations.

What happens to the temperature of the water inside the beaker after all of the ice melts? Why?

Answers

Final answer:

After all the ice has melted, the temperature of the water inside the beaker starts to increase. The constant temperature during the melting process is due to the latent heat of fusion, and only after melting, absorbed heat increases water's temperature.

Explanation:

The temperature of the water inside the beaker after all of the ice melts begins to increase. When ice is in the process of melting, it absorbs heat from its surroundings without a change in temperature, maintaining a temperature of 0°C until it has completely melted. This absorption of heat at a constant temperature is due to the latent heat of fusion, which is the energy required to change a substance from the solid phase to the liquid phase at constant temperature and pressure. Once all the ice has melted, any additional heat the water absorbs increases its temperature. This is due to the fact that the energy absorbed by the water is now used to increase the kinetic energy of the water molecules, resulting in a temperature increase.

Figure 10.26 illustrates this phenomenon with a beaker of ice starting at -12.0°C and gradually warming to 0°C as it absorbs heat. Initially, a small amount melts, but the overall temperature does not increase until all of the ice is melted. Only then does the temperature of the now liquid water begin to rise, eventually reaching 22.2°C due to continued heat absorption.

any substance with a defined set of physical properties that can transmit energy

Answers

Answer

The answer to this question is conductor.

Expalantion

The substance contains different physical properties are the transfer of energy, conductivity, density, melting and freezing etc. Any object that can transfer the energy in the form of heat or electrical conductivity can be called as conductors. It is the property of conductors to transfer the energy of heat from one side to another side of the object. The conductors have the follows the rule of the conduction process to perform this specific function.

So, the right answer to this question is the conductor.

the movement of heat or electricity through ________. __________ are good conductors, particularly __________. (fill in the blanks)

Answers

materials, metals, gold

Final answer:

The movement of heat or electricity occurs through materials called conductors, with metals like copper and silver being excellent examples due to their high number of free electrons that facilitate this transfer.

Explanation:

The movement of heat or electricity through materials. Metals are good conductors, particularly copper and silver.

Good electrical conductors are often good heat conductors, too. This is because large numbers of free electrons can carry electrical current and can transport thermal energy. Materials like copper, aluminum, gold, and silver are excellent conductors of both electricity and heat due to their high number of free electrons, which allow them to transfer thermal energy efficiently. On the other hand, insulators such as wood, plastic, and rubber are poor heat conductors because they lack these free electrons.

Understanding the conduction of electricity and heat is fundamental in industries and applications that require efficient energy transfer, including electronic components and cooking utensils. Metals are frequently employed in these applications; for example, metals like copper are used in wires for electricity transmission, while cooking utensils are made of metals because of their superior heat conduction abilities.

The H line in Calcium is normally at 396.9nm. however, in a star’s spectrum it is measured at 398,1 nm. How fast is the star moving and is it moving towards the earth

Answers

The star is moving at about [tex]\(906.6 \, \text{km/s}\)[/tex] away from the Earth

Why is this correct?

The calcium H line typically appears at a wavelength of 396.9 nm. However, in the spectrum of a particular star, it registers at 398.1 nm. To determine the star's velocity, we'll employ the Doppler effect formula for wavelength shift:

[tex]\[\frac{\Delta \lambda}{\lambda_0} = \frac{v}{c}\][/tex]

Where:

[tex]\(\Delta \lambda\)[/tex] represents the change in wavelength.

[tex]\(\lambda_0\)[/tex] denotes the rest wavelength (396.9 nm for the calcium H line).

[tex]\(v\)[/tex] stands for the star's velocity.

[tex]\(c\)[/tex] is the speed of light.

The calculation involves finding [tex]\(v\)[/tex], the star's velocity. Rearranging the formula yields:

[tex]\[v = \frac{\Delta \lambda}{λ_0} \times c\][/tex]

Starting with the difference in wavelengths:

[tex]\[\Delta \lambda = \lambda - λ_0 = 398.1 \, \text{nm} - 396.9 \, \text{nm} = 1.2 \, \text{nm}\][/tex]

Substituting the values into the equation:

[tex]\[v = \frac{1.2 \, \text{nm}}{396.9 \, \text{nm}} \times 299,792 \, \text{km/s}\][/tex]

This computation yields:

[tex]\[v \approx 0.003021 \times 299,792 \approx 906.4 \, \text{km/s}\][/tex]

Therefore, the star is moving at about [tex]\(906.6 \, \text{km/s}\)[/tex] away from the Earth.

Complete question:

The h line in calcium is normally at 396.9 nm. however, in a star's spectrum, it is measured at 398.1nm. how fast is the star moving and is it moving towards the earth or away from the earth?

Based on the weather station systems shown below, what is the most likely location of the low pressure system?

Answers

d just east of station b

Answer: Based on the weather station symbols shown below, what is the most likely location of the low pressure system?

A.Just West of City A.

If the action is of 6N, then the reaction will be

A.) 6N in the same direction
B.) 12N in the same direction
C.) 6N in the opposite direction
D.) 12N in the opposite direction

*QUICK, EXAM TOMORROW*

Answers

The reaction force is of the same amplitude but opposite direction (Newton's Third Law of Motion).

Answer: C.)

If this comes up on the exam, you should recite Newton's 3rd law of motion quietly to yourself.

Help pleaseeeeeeeeeeeee am I right?

Answers

Answer:

you’re correct i think

an object moves from the position +16m to the position +43m in 12s. What us the total displacement

Answers

First method

initial distance = 16m

final distance= 43 m

total distance covered= final -initial

                                     =43m -16m

                                     =27m

Second method

Si= 16m

Sf =43 m

t= 12 s

first we will find V

V =  (Sf-Si)/ t

V =( 43- 16)/ 12

V = 27/12  ⇒ V= 9/4

V= distance / time

distance= V×time

distance = (9/4) ×12

distance =27

a car moves with a speed of 30 metres per second calculate the distance travelled in 30 seconds

Answers

30x30=900

The answer is 900 meters after 30 seconds

Final answer:

The car traveling at 30 metres per second will cover a total distance of 900 metres in 30 seconds, calculated using the formula distance equals speed multiplied by time.

Explanation:

To calculate the distance travelled by a car moving with a speed of 30 metres per second over a period of 30 seconds, we use the formula for distance which is the product of speed and time.

The distance d is calculated as follows:

d = speed × time

Hence, substituting the given values:

d = 30 m/s × 30 s = 900 metres

Therefore, the car will travel a total distance of 900 metres in 30 seconds.

What is the purpose of mucilage in the spaces around the cells of hornworts? Why is this important?

Answers

Final answer:

The mucilage in hornwort cells is crucial for maintaining water balance, protecting the plant from drying, aiding in nutrient capturing, and promoting bacterial interaction. It ensures the plant's survival and growth prospects in various environments.

Explanation:

The mucilage in the spaces around the cells of hornworts serves a critical role in maintaining the plant's water balance and protecting it from drying out. It does this by absorbing water and creating a moist environment that helps in preventing water loss via transpiration. Additionally, the mucilage also aids in nutrient capturing and bacterial interaction that promotes the growth of the plant.

This is extremely important as it not only improves the plant's survival rate in various environments but also allows the plant to photosynthesize effectively, and thus, grow and propagate successfully. So, understanding the role of mucilage in hornworts is crucial for their conservation and in understanding plant adaptation mechanisms in general.

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Mucilage in hornwort cells stabilizes water content, ensuring hydration, and binds pathogens to protect against infections. It also improves root-soil contact, enhancing nutrient and water absorption. These functions are essential for the hornwort's survival and growth.

The mucilage in the spaces around the cells of hornworts plays several critical roles. Firstly, it helps to stabilize the water content of the surrounding environment, ensuring that the hornwort cells remain hydrated even during dry conditions. This is crucial for the plant's survival and growth. Additionally, the mucilage helps to bind pathogens, protecting the cells from potential infections. This dual role of maintaining hydration and offering protection is essential for the overall health and longevity of the hornwort.

Moreover, mucilage improves the contact between the root and soil, preventing gaps which would drastically reduce the absorption of water and nutrients. Additionally, the mucilage's high water content and resistance to proteolysis due to its extensive mucosylation make it an effective barrier and stabilizer in various environmental conditions.

a conceptual model is based off of

Answers

Answer

Tha conceptual model depends upon the process flow.

Explanation

The conceptual model is actually used in the system to stimulate, understand or explore the subject for the better understanding of people. As it consists of different constituents as validation, implementation, accreditation etc. can be affected by the process flow. The process flow has actually consisted of the management, monitoring of objects for specific subject and scales under these monitoring or management are proceedings. As these scales of process flow effects, the objectives of the task impacts.

If u drop a bouncy ball off a roof and it takes 1.2 seconds to hit the ground how tall is the roof

Answers

Here's the formula to use:

D = 1/2 A T²

Distance = (1/2) (Acceleration) (time)²

Now let's use it:

Distance = (1/2) (9.8 m/s² for Earth gravity) (1.2 seconds)²

Distance = (4.9 m/s²) (1.44 sec²)

Distance = (4.9 x 1.44) (m-s² / s²)

Distance = 7.06 meters

How do you calculate acceleration on a velocity time graph

Answers

Acceleration on a velocity time graph is found by calculating the change in the velocity over the change in time, or in other words, the slope. To do so, it's (final v-initial v)/(final t-initial t), where v is the velocity and t is time. Just find the final point you are looking for on the velocity time graph and determine its velocity and time. Then do the same for the initial point on the velocity time graph. Subtract the final velocity from the initial velocity and divide it by the final time minus the initial time and you will find the velocity for that interval. If you are looking for the instantaneous velocity at one specific point and not a interval, it's just the slope of the line at that point in time.

To calculate acceleration from a velocity-time graph, determine the slope of the graph at a specific point by dividing the change in velocity by the change in time.

To calculate acceleration from a velocity-time graph, you need to find the slope of the graph at a specific point. Acceleration represents the rate of change of velocity, and the slope of a graph represents the rate of change of the dependent variable with respect to the independent variable.

Here are the steps to calculate acceleration from a velocity-time graph:

Identify the specific point on the graph where you want to determine the acceleration.

Draw a tangent line to the curve at that point. The tangent line should touch the curve at only one point.

Measure the slope of the tangent line. You can do this by determining the change in velocity (Δv) and the change in time (Δt) between two points on the tangent line.

Calculate the acceleration by dividing the change in velocity by the change in time: acceleration (a) = Δv / Δt.

Note: If the velocity-time graph is a straight line, the acceleration is constant throughout, and you can calculate it by taking the slope of the line directly.

Remember that the units of acceleration will depend on the units used for velocity (e.g., meters per second, miles per hour) and time (e.g., seconds, minutes).

Therefore, Determine the slope of the graph at a certain point by dividing the change in velocity by the change in time in order to calculate acceleration from a velocity-time graph.

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chuck wagon travels with a constant velocity of 0.5 mile/minutes. determine the total distance traveled by Chuck Wagon during 12 minute of motion

Answers

Final answer:

To determine the total distance traveled by Chuck Wagon during 12 minutes of motion, multiply the velocity by the time.

Explanation:

To determine the total distance traveled by Chuck Wagon during 12 minutes of motion, we can use the formula:

Distance = Velocity * Time

Given that the velocity of Chuck Wagon is 0.5 mile/minute and the time is 12 minutes, we can substitute these values into the formula:

Distance = 0.5 mile/minute * 12 minutes = 6 miles

Therefore, Chuck Wagon traveled a total distance of 6 miles during 12 minutes of motion.

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